Determine the relative maxima of f(x)=2x^3-3x^2. Also describe where the function os increasing and decreasing.

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

f(x)=2x^3-3x^2

Finding the derivative and equating to zero:

f'(x) = 6x^2 - 6x = 0

6x(x - 1) = 0

So there are turning point at x = 0 and 2 = 1.

Finding the relative maximum:

Second derivative is negative when we have a maximum value:

f"(x) = 12x - 5

- which is negative when  x = 0.

So the relative maximum is at x = 0 where f(x) = 2(0)^3 - 3(0)^2 = 0.

At x = 1, second derivative  = 12(1) - 5 = +7 so this is a relative  minimum.

The function is increasing  in interval -∝ < x < 0

decreasing in interval 0 < x < 1

then increasing in interval   1 < x < ∝


Related Questions

a shopkeeper buys 25 cricket balls at a total cost of $150

a) he sells them for $ 8 each. what was his % profit?

b)he sells them for $5 each. what was his % loss?​

Answers

Answer:

a) he sells them for $ 8 each. what was his % profit

Step-by-step explanation:

A 500 Ml of a laboratory solution contains 10% acetonitrile,25% menthol, and the rest is water. how much is the solution is water?​

Answers

Answer:

65% of it or 325 of the 500MI

Step-by-step explanation:

65% of solution is water. 65% of 500 total is 325.

 If you add​ Natalie's age and​ Fred's age, the result is 43. If you add​ Fred's age to 4 times​ Natalie's age, the result is 88. Write and solve a system of equations to find how old Fred and Natalie are.

Answers

Natalie's age = n

Fred's age = f

n + f = 43

4n + f = 88

f = 43 - n

4n + (43 - n) = 88

3n + 43 = 88

3n = 45

n = 15

f = 43 - n

f = 43 - 15

f = 28

Natalie is 15

Fred is 28

Hope this helps!

34. x-y=3 Slope-Intercept Form

Answers

I don’t know I need the points for my homework though, deepest apologies

Answer:

y=x-3

Step-by-step explanation:

Slope intercept form: y=mx+b

x-y=3

-y=-x+3

y=x-3

Find the equivalent expression using distributive property.

Answers

[tex] \large \sf \: ⇒ \: 7(x + 6) \\ \\ \large \sf⇒ \:distributing \: 7 \: with \: bracket \\ \\ \large \sf \: ⇒7x + 42[/tex]

[tex]\boxed{\rm{Option\:A\green{✓}}}[/tex]

▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂☘

Hope it helps !

Pete is retiring after working 27 years at a major bank. the company offers him a flat monthly retirement benefit of $50 per year for each year of service. ​

Answers

Answer:

1350

Explanation:

27 x 50 = 1350

(Hope this helped!)

Tyler wants to buy some cherries at the farmer’s market. He has $10 and cherries cost $4 per pound. How many pounds of cherries could he buy?
pounds

Answers

Answer:

2-and-a-half pounds

10 / 4 = 2.5

2 and a half would be your answer.

Translating Inequalities into Words
Which phrases can be used to represent the inequality? Check all that apply.
One-half + k greater-than 18

Answers

Answer:

The sum of one-half and a number is more than eighteen.

The sum of one-half and a number is greater than eighteen.

The sum of one-half and a number is above eighteen.

Step-by-step explanation:

https://brainly.com/question/12165044

Question: Which phrases can be used to represent the inequality? Check all that apply.

         One-half + k greater-than 18

Answer:

a. The sum of one-half and a number is more than eighteen.                      b. The sum of one-half and a number is greater than eighteen.

c. The sum of one-half and a number is above eighteen.

PLEASE HELPPP SOLVE FOR X, these are two separate question’s

Answers

[tex]\textbf{3)}\\\\~~~~~3x^2\cdot 5 = 80\\\\\implies 15x^2 = 80\\\\\implies x^2 = \dfrac{80}{15}\\\\\implies x^2 = \dfrac{16}3\\\\\implies x = \pm\sqrt{\dfrac{16}3}\\\\\implies x = \pm \dfrac 4{\sqrt 3}\\\\\textbf{4)}\\\\~~~~~~(x-5)^2 = 81\\\\\implies x -5 =\pm\sqrt{81}\\\\\implies x -5 = \pm9\\\\\implies x = 5\pm9\\\\\implies x = -4,~ x = 14[/tex]

(X-5)^2 = 81

X^2+25-10x=81
X^2-10x = 81-25
X(x-10). =. 56


X= 56. , X-10=. 56

X= 66


56, 66

can anyone help me find the area of these two pls ? ty

Answers

Answer:

1. 92 in²

2. 97.2 yds²

Step-by-step explanation:

1. area of a rectangle: b x h

b = 9.2

h = 10

9.2 x 10 = 92

2. area of paralellogram: b x h

b = 12

h = 8.1

12 x 8.1 = 97.2

97.2

Yes yes yes yes yes yes

Find the inverse of y=7x+3

Answers

Answer:

7 x 3 .

Step-by-step explanation:

Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√49x7 f - 1 ( x ) = 49 x 3 7 is the inverse of f(x)=7x3 f ( x )

The inverse function is y= (x-3)/7

What is a function?

An expression which defines the relationship between two variables (one independent and one dependent variable).

What is dependent and independent variable?

The independent variable is the variable being controlled in the problem, and the dependent variable is the variable that changes with the change of independent variable.

What is inverse of a function?

A function that undoes the original function is called the inverse function.

How to find the inverse of y=7x+3 ?

To find the inverse function of a given function,

first we will have to interchange the variables

In the problem,  

y is the independent variable x is the dependent variable

y=7x+3

To find the inverse

x = 7y + 3    ( interchanging the variables )

Now finding the value of y,

⇒ x - 3 = 7y

⇒ y = (x-3)/7

This is the inverse function.

Find out more information about inverse function here: https://brainly.com/question/10219387

#SPJ2

need help with meth problem

Answers

Answer:

She bought 10 apples and 10 bananas

Step-by-step explanation:10 apples - $1.50 each x 10 apples = $15.00

10 bananas - $1.25 each x 10 bananas = $12.50

15.00+12.50=$27.50

x+y=28.00

1.50x+1.25y=28



Which equation represents the relationship between x and y in the table above?
y=x+2
y= 3x
y=x+3
y=2x

Answers

Answer:

A

Step-by-step explanation:

when you look, you see the y value is always bigger by 2 than the x value.

so, the function is clearly to take the x value, add 2 to it and deliver this as the functional result (y value).

only A fits.

Can anyone help me with this? I don’t get it.

Answers

Answer:

D

Step-by-step explanation:

A triangle with sides 2, 4.5, and 6 is similar to a triangle with sides 4, 9, and 12.

[tex] \frac{4}{2} = \frac{9}{4.5} = \frac{12}{6} = 2[/tex]



Helppp!!!! Asap I neeed to know which one it is.

Answers

Hi!

The purple triangle is the pre-image.

See those little quotation marks on the letters of the blue triangle?

When we say the name of the triangle, we would say triangle ABC prime, meaning it's the post image, because it's like a copy of the other one, hence the quotes.

Which of the following is NOT a skill-related fitness test?
A. The skin fold test
B. The alternate hand ball test
C. The ruler drop test
D. The stork and stand test

Answers

Option - A) The skin fold test .

Step-by-step explanation:

Skin fold test is not a skìll related fitness test. Skill related fitness test includes skills that person have to show by doings various tests. It includes various skills such as skill of reaction, skill of balancing, skill of catching, bouncing etc. _______________Skin fold test is a test to check the Lipids or thickness of the body .It is measured by Calipers.

Bill buys a large can of paint. The size of the can is measured in which unit?

Answers

[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}} [/tex]

[tex] \mathbb\purple{GALLONS} [/tex]

The paint can be measured in litres

HELPP
If there were 180 minions with you in the lab and only three-fifths made it through the door, how many minions are still with us?

Answers

Answer:108

Step-by-step explanation:

Answer: 108 minions

Step-by-step explanation:

The number of toys owned by eight classmates is shown below:

4, 3, 4, 5, 6, 6, 8, 4

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)


PLEASE HELP. I WILL GIVE BRAINLIEST IF YOU DO PART B.

Answers

Answer:

A. 4+5/2= 6,5 mean

Step-by-step explanation:

I don't get the second question. Sorry! But at least I tried to help part A.

Answer:

Part A Answer: 5 Part B Answer: 1.25

Step-by-step explanation:

Part A: I added all the numbers up to equal 40. 40 divided by the number of numbers given (8) equals 5.

Part B: I know the answer is 1.25 for sure but trying to figure out how to explain it!


One painter can paint a room in 2 hours; another painter requires 4 hours to paint
the same room. How long will it take them to paint the room together

Answers

Answer:

[tex]1\frac{1}{3}[/tex] hours

Step-by-step explanation:

The first painter does [tex]\frac{1}{2}[/tex] (aka [tex]\frac{2}{4}[/tex]) the job in 1 hour.

The second painter does [tex]\frac{1}{4}[/tex] the job in 1 hour.

This means together they can do [tex]\frac{3}{4}[/tex] the job in 1 hour.

This means to do [tex]\frac{1}{4}[/tex] of the job they will need [tex]\frac{1}{3}[/tex] hours. (third of the work they do in an hour means they need a third of the time)

This means they need [tex]1\frac{1}{3}[/tex] hours to paint the room together.

Tyler believes that an 8-sided die can be used to predict whether customers at his store will use a coupon when making their purchases, with a roll of 1 indicating a coupon and all other outcomes indicating no coupon. Today, 4 of the first 48 customers in the store used a coupon. How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die? The experimental probability is greater than the theoretical probability by more than 2%. The experimental probability is less than the theoretical probability by more than 2%. The experimental probability is greater than the theoretical probability, but within 2%. The experimental probability is less than the theoretical probability, but within 2%.

Answers

The correct answer choice is; The experimental probability is less than the theoretical probability by more than 2%.

How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die?

It follows from the task content that, upon evaluation;

The experimental probability upon evaluation = 4/48 = 1/12.

The theoretical probability upon evaluation = 1/8.

Consequently, it follows that the experimental probability is less than the theoretical probability by more than 2%.

Read more on experimental probability;

https://brainly.com/question/8652467

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The two triangles are congruent.

Answers

Answer:

B

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The tirangles are no exatly the same due to the fact that one is rotated.

This means they are similar NOT congruent

I Need help with 16 please help

Answers

Answer:

C

Step-by-step explanation:

28% of 25900 gives you 7252 and it is asking approx. and that is 7200

Define the binary operator ∇ by: a ∇ b = 4 Simplify each of the following. Do the order of operations (do what is in parentheses first). ( 4 ∇ 3 ) ∇ 6 = ( 7 ∇ 2 ) ∇ 5 =

Answers

Given that a ∇ b = 4, it doesn't matter what values you choose for a and b, the result of the ∇ operation is always 4.

So, unless your question is missing some additional details, we have

(4 ∇ 3) ∇ 6 = 4 ∇ 6 = 4

and

(7 ∇ 2) ∇ 5 = 4 ∇ 5 = 4

Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"

Answers

Answer:

B) 25 / 8

Step-by-step explanation:

We know that pi = 3.14*, or "3 and a little bit more". 25/8=3.125 which is approximately pi.

100 POINTS IF YOU CAN GUESS CORRECTLY PLEASE HELP!

Answers

90 square inches……….

The ratio of girls to boys in a room is 3/4. What are other ways to represent this ratio? Select each correct answer. 3 to 4 3:4 4 to 3 4:3

Answers

Answer:

a) 3 to 4

b) 3 : 4

Given:

[tex]\sf \dfrac{girls }{boys} = \dfrac{3}{4}[/tex]

Notice that girls = 3, boys = 4

So, Ratio of girls to boys can be rewritten as 3 : 4 and 3 to 4

Fractions are usually represented in ratio like

a/ba:ba to b

So

here

3/43:43 to 4

hey can someone help me find the area pls

Answers

Answer:

16.12 mi²

Step-by-step explanation:

The formula for the area of a trapezoid is A = 1/2h([tex]b_{1} +b_{2}[/tex]), where [tex]b_{1}[/tex] stands for base 1, and [tex]b_{2}[/tex] represents base 2. Plugging in the given values, we have A = 1/2(3.1)(8.3 + 2.1). Now we can solve.

------------------------------

A = 1/2(3.1)(8.3 + 2.1)

1/2(3.1)(10.4)

1.55(10.4)

= 16.12 mi²

hope this helps!

Multiply the sum of -13/8 and 5/12 by their difference.​

Answers

Answer:

1421/576

Step-by-step explanation:

Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24

Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24

Sum * Difference = (-29/24)*(-49/24) = 1421/576

The following two-way table shows the distribution of pets in a large apartment building. A 4-column table with 3 rows titled Pets. Column 1 has entries cat, no cat, total. Column 2 is labeled dog with entries 27, 3, 30. Column 3 is labeled no dog with entries 25, 45, 70. Column 4 is labeled Total with entries 52, 48, 100. Suppose we select a resident of the apartment building at random. Let event A = Cat and event B = Dog. Calculate and interpret P(A|B). The probability that a randomly selected resident owns a , given that the person also owns a , is equal to approximately .

Answers

Answer:

The probability that a randomly selected resident owns a

✔ cat

, given that the person also owns a

✔ dog

, is equal to approximately

✔ 0.90

.

Step-by-step explanation:

Just did it on edge.

Next slide answer is:

The probability that a randomly selected resident owns a

✔ dog

, given that the person also owns a

✔ cat

, is equal to approximately

✔ 0.519

.

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